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244374960 = 24351953591
BaseRepresentation
bin11101001000011…
…01110110110000
3122000211112102110
432210031312300
51000024444320
640125445320
76025103304
oct1644156660
9560745373
10244374960
11115a41585
1269a10840
133b82328b
1424653d04
15166c25e0
hexe90ddb0

244374960 has 80 divisors (see below), whose sum is σ = 797448960. Its totient is φ = 61735680.

The previous prime is 244374959. The next prime is 244374989. The reversal of 244374960 is 69473442.

244374960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22236 + ... + 31355.

It is an arithmetic number, because the mean of its divisors is an integer number (9968112).

Almost surely, 2244374960 is an apocalyptic number.

244374960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244374960 is an abundant number, since it is smaller than the sum of its proper divisors (553074000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

244374960 is a wasteful number, since it uses less digits than its factorization.

244374960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53626 (or 53620 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 244374960 is about 15632.4969214774. The cubic root of 244374960 is about 625.1999019226.

The spelling of 244374960 in words is "two hundred forty-four million, three hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 53591 107182 160773 214364 267955 321546 428728 535910 643092 803865 857456 1018229 1071820 1286184 1607730 2036458 2143640 2572368 3054687 3215460 4072916 4287280 5091145 6109374 6430920 8145832 10182290 12218748 12861840 15273435 16291664 20364580 24437496 30546870 40729160 48874992 61093740 81458320 122187480 244374960